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A right pyramid is a pyramid whose base is circumscribed about a circle and the altitude of the pyramid meets the base at the circle's center; otherwise, it is oblique. [12] This pyramid may be classified based on the regularity of its bases. A pyramid with a regular polygon as the base is called a regular pyramid. [13]
The Egyptians knew the correct formula for the volume of such a truncated square pyramid, but no proof of this equation is given in the Moscow papyrus. The volume of a conical or pyramidal frustum is the volume of the solid before slicing its "apex" off, minus the volume of this "apex":
Because its edges are all equal in length (that is, =), its slant, height, surface area, and volume can be derived by substituting the formulas of a right square pyramid: [15] =, =, = (+), =. Like other right pyramids with a regular polygon as a base, a right square pyramid has pyramidal symmetry .
Right-rectangular pyramid: a, b = the sides of the base h = the distance is from base to the apex General triangular prism: b = the base side of the prism's ...
This is a list of volume formulas of basic shapes: [4]: 405–406 ... Pyramid – , where is the base's area ...
Apothem of a regular polygon With interactive animation; Apothem of pyramid or truncated pyramid Archived 2021-04-21 at the Wayback Machine; Pegg, Ed Jr. "Sagitta, Apothem, and Chord". The Wolfram Demonstrations Project
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The term often refers to square pyramidal numbers, which have a square base with four sides, but it can also refer to a pyramid with any number of sides. [2] The numbers of points in the base and in layers parallel to the base are given by polygonal numbers of the given number of sides, while the numbers of points in each triangular side is ...